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The primary coil of a transformer has 849,756 loops. The secondary coil has 1,64

ID: 1729696 • Letter: T

Question

The primary coil of a transformer has 849,756 loops. The secondary coil has 1,642 loops. The primary coil has a 14 A current and 39 V.

a.) Is this a step-up or step-down transformer? How do you know?Choose one of the following. 1 It is a step-downtransformer because all transformers are step-downtransformers. It is a step-uptransformer because the primary current is less than the primaryvoltage.     It is astep-up transformer because the primary has moreloops than the secondary. It is astep-down transformer because the primary currentis less than the primary voltage. It is astep-up transformer because all transformers arestep-up transformers. It is a step-downtransformer because the primary has more loops than thesecondary.

b.) Determine the power of the primary coil.
2 W
c.) Assuming no losses, determine the power of the secondarycoil.
3 W
d.) Calculate the voltage in the secondary coil.
4 V
e.) Calculate the current in the secondary coil.
5 A 1 It is a step-downtransformer because all transformers are step-downtransformers. It is a step-uptransformer because the primary current is less than the primaryvoltage.     It is astep-up transformer because the primary has moreloops than the secondary. It is astep-down transformer because the primary currentis less than the primary voltage. It is astep-up transformer because all transformers arestep-up transformers. It is a step-downtransformer because the primary has more loops than thesecondary. 1 It is a step-downtransformer because all transformers are step-downtransformers. It is a step-uptransformer because the primary current is less than the primaryvoltage.     It is astep-up transformer because the primary has moreloops than the secondary. It is astep-down transformer because the primary currentis less than the primary voltage. It is astep-up transformer because all transformers arestep-up transformers. It is a step-downtransformer because the primary has more loops than thesecondary. 1

Explanation / Answer

.          No. ofloops in primary, N1 = 849756 .          No.of loopsin secondary, N2 = 1642 .          Primarycurrent, I1 = 14 A .          Primaryvoltage, V1 = 39 V . (a) .           Itis a step-down transformer because theprimary has more loops than the secondary. . (b) .          Power ofprimary coil, P1 = V1 I1 .                                                  =39 * 14 = 546 W (c) .          Power ofsecondary coil, P2 = Power of primary coil = 546 W (d) .                  Voltage insecondary coil, V2 = ( N2 / N1 ) * V1 .                                                       = ( 1642 / 849756 ) * 39 .                                                       = 0.075 V (e) .          Current insecondary coil, I2 = P2 / V2 .                                                     = 546 / 0.075 .                                                     = 7280 A .    . (b) .          Power ofprimary coil, P1 = V1 I1 .                                                  =39 * 14 = 546 W (c) .          Power ofsecondary coil, P2 = Power of primary coil = 546 W (d) .                  Voltage insecondary coil, V2 = ( N2 / N1 ) * V1 .                                                       = ( 1642 / 849756 ) * 39 .                                                       = 0.075 V (e) .          Current insecondary coil, I2 = P2 / V2 .                                                     = 546 / 0.075 .                                                     = 7280 A .
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